On the Birationality of the Bicanonical Map of a Surface Section of a Threefold

Many tasks, such as pose determination, object recognition and model building rely on a geometrical description of the visible surfaces derived from scene measurements. Even though much effort has been invested in surface description, robust extraction of surface parameters from scattered and noisy 3-D measurements is still a delicate task. For a given visible surface section, the extracted parameters should not depend on the sensor position in the scene nor on a particular measurement set on this surface. In this work, we show that a viewpoint invariant and stable local surface description can be extracted on sections where measurement constraints are redundant with respect to a polynomial model. A segmentation approach is developed to identify such stable sections. The approach is based on a measurement error model which takes into account the sensor’s viewpoint. An application of the approach to the extraction of straight line sections from single scan 3-D surface profiles is presented. The extracted stable linear sections are stored in a list that includes the estimated descriptive parameters for each section and indices of reliability for each description. The descriptive parameters obtained from images of the objects is compared with pre-measured parameters.

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Intratumoral gene expression profile of genes involved in 5-FU metabolism and angiogenesis, comparison with tumor invasion depth in patients with advanced gastric cancer.

Journal of Clinical Oncology ◽

10.1200/jco.2013.31.4_suppl.56 ◽

2013 ◽

Vol 31 (4_suppl) ◽

pp. 56-56

Author(s):

Mizutomo Azuma ◽

Akira Naruke ◽

Myungchul Kim ◽

Kenji Ishido ◽

Chikatoshi Katada ◽

...

Keyword(s):

Gene Expression ◽

Gastric Cancer ◽

Advanced Gastric Cancer ◽

Gene Expression Profile ◽

Primary Tumor ◽

Biopsy Specimen ◽

Middle Section ◽

Invasion Depth ◽

Gene Profile ◽

Surface Section

56 Background: The biopsy specimen by endoscopy can only show the surface of its gene profiles. We hypothesis whether the biopsy specimen can reflect all part of gene profile or not. We tested how 5-FU related genes and angiogenesis gene expressed in the invasion depth in the primary tumor of the Stage II or III advanced gastric cancer. Methods: Twenty-five patients with stage II or III advanced gastric cancer who underwent gastrectomy were analyzed.Formalin-fixed, paraffin-embedded tumor tissues were dissected from the surface section (mainly mucosa), the middle section (mainly submucossa) and the deep section (the part invaded most deeply) of the primary tumor and the normal gastric mucosa tissue by the laser-captured microdissection technique and were analyzed for target gene expressions using a quantitative real-time polymerase chain reaction.We analyzed for target genes as TS, TP, DPD, ERCC1, EGFR, VEGF and HIF1α. Results: In the primary tumor, TP and HIF1α gene expression in the surface section was significantly higher than in the deep section (p=0.021, p=0.012). These gene expression and the depth of the primary tumor had a correlation coefficient (TP; r=0.29, HIF1α; r=0.33). There was no significantly difference between surface and deep section in the primary tumor in TS, DPD, ERCC1, VEGF, EGFR except TP and HIF1α. There was no significantly difference between surface and middle section in the primary tumor in all gene expression. There was no significantly difference between middle and deep section in the primary tumor in all gene expression. Conclusions: Only TP and HIF1α had tendency that these gene expression became higher as invaded from the surface section to the deep section of primary tumor. These data suggested that biopsy specimens could be predicted gene expression profile from the surface of gastric cancer. But as you know, gastric cancer has a heterogeneity gene profile. We need at least few samples to say whole gene expression of its tumors. This is preliminary data, it will need further study to proof these result.

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Casing-While-Drilling 24-in. Surface Section Enables Operator to Add One Extra Slot to the Existing Drilling Template and Cut Operation Costs in Offshore Congo

10.2118/119461-ms ◽

2009 ◽

Cited By ~ 1

Author(s):

Enis Aliko ◽

Stefano De Luca

Keyword(s):

Operation Costs ◽

Surface Section

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Improved Sectioning of Polymers Using an Oscillating Diamond Knife for Transmission Electron Microscopy

Microscopy Today ◽

10.1017/s1551929500058612 ◽

2006 ◽

Vol 14 (5) ◽

pp. 20-21 ◽

Cited By ~ 2

Author(s):

J.D. Harris ◽

J.S. Vastenhout

Keyword(s):

Electron Microscopy ◽

Transmission Electron Microscopy ◽

Wedge Angle ◽

Cutting Speed ◽

Sample Surface ◽

Section Thickness ◽

Thin Sections ◽

Transmission Electron ◽

Surface Section ◽

Diamond Knife

Polymers are viscoelastic materials that can often deform during microtome sectioning. Similar to plastic embedded biological materials, many methods have been developed over the years to not only improve the image contrast of these materials but also to harden the material for improved sectioning during microtomy. Even with these improvements, a common artifact, compression, during the sectioning of this class of materials remains problematic.Compression is caused by several factors: hardness of the sample, embedding media, wedge angle of the knife, interaction between the diamond and sample surface, section thickness and cutting speed. It has been found that reducing the knife angle from 45º to 35° leads to a reduction in compression. Recent efforts to further reduce the compression of ultra-thin sections have led to the invention of an oscillating diamond knife.

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On the relationship between neck length and bond radius during compression of snow

Journal of Glaciology ◽

10.3189/s0022143000007218 ◽

1991 ◽

Vol 37 (126) ◽

pp. 203-208 ◽

Cited By ~ 1

Author(s):

R. L. Brown ◽

M. Q. Edens

Keyword(s):

Two Dimensional ◽

Micro Structure ◽

Neck Length ◽

Geometric Effect ◽

Section Data ◽

The Third ◽

Surface Section ◽

Definition Of ◽

The Relationship ◽

Dimensional Surface

AbstractIn an earlier study on the variations in micro-structure during large volumetric deformations of snow, the authors observed that, contrary to expectations, the length of necked regions connecting adjacent grains did not necessarily decrease during compression. Rather, there was no discernible or predictable change in neck length, in some cases increasing and in others decreasing. Further evaluations of the data and an analysis of the mechanics of neck deformation determined that the process is complicated by three different effects: (1) increase in coordination number (number of bonds per grain), (ii) plastic deformation of the neck, and (iii) a geometric effect determined by bond growth and grain geometry. It is found that the first two effects tend to decrease the neck length and that the third produces an increase in mean neck length. A set of coupled differential equations is developed describing the variation of neck length and bond radius, and solved numerically for conditions consistent with the experimental data. Calculated results agree well with the data for the bond radius but the results for the neck length are less satisfactory. Reasons for this lie with difficulty in making accurate measurements of mean neck length from two-dimensional surface-section data and in the criteria for the definition of necks.

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